Search results for "Lenstra elliptic curve factorization"

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The factorization method for real elliptic problems

2006

The Factorization Method localizes inclusions inside a body from mea- surements on its surface. Without a priori knowing the physical parameters inside the inclusions, the points belonging to them can be characterized using the range of an auxiliary operator. The method relies on a range characterization that relates the range of the auxiliary operator to the measurements and is only known for very particular applications. In this work we develop a general framework for the method by considering sym- metric and coercive operators between abstract Hilbert spaces. We show that the important range characterization holds if the difference between the inclusions and the background medium satisfi…

Applied MathematicsMathematical analysisHilbert space510 MathematikInverse problemLenstra elliptic curve factorizationSemi-elliptic operatorRange (mathematics)symbols.namesakeOperator (computer programming)510 MathematicsElliptic partial differential equationMetric (mathematics)symbolsAnalysisMathematics
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On the number of prime divisors of the order of elliptic curves modulo p

2005

CombinatoricsDiscrete mathematicsAlgebra and Number TheorySato–Tate conjectureCounting points on elliptic curvesSchoof's algorithmTwists of curvesSupersingular elliptic curveLenstra elliptic curve factorizationPrime (order theory)Division polynomialsMathematicsActa Arithmetica
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